Details

Time bar (total: 17.7s)

sample46.0ms

Algorithm
intervals
Results
21.0ms345×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27511
316411
425111
531011
636311
749911
8107611
9448611
done500011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
44.0ms
(* (* z z) (+ z 1.0))
28.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (* z z) (+ z 1.0))
96.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify899.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
0112858
1343788
21881626
done5000626

prune155.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.5b
(/ x (* z z))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
74.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.0ms
(/ x (* z z))

series125.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ z 1.0))
63.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify1.4s

Counts
116 → 116
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01801501
14851416
218071228
done50001214

prune270.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
67×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×prod-exp cbrt-unprod
35×*-un-lft-identity
29×add-cube-cbrt associate-*l*
26×cbrt-undiv div-exp
19×associate-*r*
17×cbrt-prod
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 143
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
62.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
96.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series787.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt x)
257.0ms
(cbrt x)
170.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
103.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.3s

Counts
155 → 155
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02652776
17962632
232281922
done50011720

prune483.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.9b
(* (/ (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite541.0ms

Algorithm
rewrite-expression-head
Rules
156×add-exp-log
109×add-cbrt-cube
79×prod-exp cbrt-unprod
50×add-sqr-sqrt
44×cbrt-undiv div-exp
40×times-frac
37×*-un-lft-identity
31×add-cube-cbrt
29×cbrt-prod associate-*l*
19×associate-*r*
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
63.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
466.0ms
(* (/ (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
352.0ms
(cbrt (cbrt x))
396.0ms
(cbrt (cbrt x))
167.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
86.0ms
(* (/ (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.6s

Counts
181 → 181
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03214564
19594329
242552751
done50012050

prune449.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

28.7% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.5b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02968
13868
done3868

end0.0ms

sample1.3s

Algorithm
intervals
Results
891.0ms10772×body80valid